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Matematicheskie Zametki, 2017, Volume 101, Issue 1, Pages 58–76
DOI: https://doi.org/10.4213/mzm11039 (Mi mzm11039) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Existence and Stability of the Relaxation Cycle in a Mathematical Repressilator Model

S. D. Glyzina, A. Yu. Kolesova, N. Kh. Rozovb

a P.G. Demidov Yaroslavl State University
b Lomonosov Moscow State University
Full-text PDF (594 kB) Citations (11)
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DOI: https://doi.org/10.4213/mzm11039
Abstract: The three-dimensional nonlinear system of ordinary differential equations modeling the functioning of the simplest oscillatory genetic network, the so-called repressilator, is considered. The existence, asymptotics, and stability of the relaxation periodic motion in this system are studied.
Keywords: repressilator, genetic oscillator, relaxation cycle, stability, asymptotics.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-04066а
Received: 07.12.2015
Revised: 05.03.2016
English version:
Mathematical Notes, 2017, Volume 101, Issue 1, Pages 71–86
DOI: https://doi.org/10.1134/S0001434617010072
Bibliographic databases:
Document Type: Article
UDC: 517.926
Language: Russian
Citation: S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Existence and Stability of the Relaxation Cycle in a Mathematical Repressilator Model”, Mat. Zametki, 101:1 (2017), 58–76; Math. Notes, 101:1 (2017), 71–86
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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